Abstract
The energy spectrum of the 12C nucleus with (Jπ,T) = (0+,0) and (2+,0) is investigated within the framework of themulticluster dynamical model by using a deep αα-potentialwith forbidden states in the S and D waves. A very high sensitivity of thecompact ground and first excited 2+1 state energy levels to thedescription of the two-body forbidden states wavefunctions has beenestablished. It is also shown that the chosen method of orthogonalizingpseudopotentials yields convergent results for the energies of the excited(0+2,0) and (0+3,0) states of the 12C nucleus witha well developed cluster-like structure.
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